By QB365 on 13 May, 2022
QB365 provides detailed and simple solution for every book back questions in class 10 Maths subject.It will helps to get more idea about question pattern in every book back questions with solution.
latest Book back Questions10th Standard
Maths
1 Marks
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
(A x C) ⊂ (B x D)
(B x D) ⊂ (A x C)
(A x B) ⊂ (A x D)
(D x A) ⊂ (B x A)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
f(xy) = f(x).f(y)
f(xy) ≥ f(x).f(y)
f(xy) ≤ f(x).f(y)
None of these
The sum of the exponents of the prime factors in the prime factorization of 1729 is
1
2
3
4
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
\(\frac { 1 }{ 24 } \)
\(\frac { 1 }{ 27 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { 1 }{ 81 } \)
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives
\(\frac { { x }^{ 2 }-7x+40 }{ \left( x-5 \right) \left( x+5 \right) } \)
\(\frac { { x }^{ 2 }+7x+40 }{ \left( x-5 \right) \left( x+5 \right) \left( x+1 \right) } \)
\(\frac { { x }^{ 2 }-7x+40 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
\(\frac { { x }^{ 2 }+10 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
If A = \(\left( \begin{matrix} 1 & 2 & 3 \\ 3 & 2 & 1 \end{matrix} \right) \), B = \(\left( \begin{matrix} 1 & 0 \\ 2 & -1 \\ 0 & 2 \end{matrix} \right) \) and C = \(\left( \begin{matrix} 0 & 1 \\ -2 & 5 \end{matrix} \right) \), Which of the following statements are correct?
(i) AB + C = \(\left( \begin{matrix} 5 & 5 \\ 5 & 5 \end{matrix} \right) \)
(ii) BC = \(\left( \begin{matrix} 0 & 1 \\ 2 & -3 \\ -4 & 10 \end{matrix} \right) \)
(iii) BA + C = \(\left( \begin{matrix} 2 & 5 \\ 3 & 0 \end{matrix} \right) \)
(iv) (AB)C = \(\left( \begin{matrix} -8 & 20 \\ -8 & 13 \end{matrix} \right) \)
(i) and (ii) only
(ii) and (iii) only
(iii) and (iv) only
all of these
In a given figure ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is
25 : 4
25 : 7
25 : 11
25 : 13
The straight line given by the equation x = 11 is
parallel to X axis
parallel to Y axis
passing through the origin
passing through the point (0,11)
A straight line has equation 8y = 4x + 21. Which of the following is true
The slope is 0.5 and the y intercept is 2.6
The slope is 5 and the y intercept is 1.6
The slope is 0.5 and the y intercept is 1.6
The slope is 5 and the y intercept is 2.6
When proving that a quadrilateral is a trapezium, it is necessary to show
Two sides are parallel
Two parallel and two non-parallel sides
Opposite sides are parallel
All sides are of equal length
When proving that a quadrilateral is a parallelogram by using slopes you must find
The slopes of two sides
The slopes of two pair of opposite sides
The lengths of all sides
Both the lengths and slopes of two sides
(2, 1) is the point of intersection of two lines.
x - y - 3 = 0; 3x - y - 7 = 0
x + y = 3; 3x + y = 7
3x + y = 3; x + y = 7
x + 3y - 3 = 0; x - y - 7 = 0
If sin \(\theta \) = cos \(\theta \), then 2 tan2 \(\theta \) + sin2 \(\theta \) -1 is equal to
\(\frac { -3 }{ 2 } \)
\(\frac { 3 }{ 2 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { -2 }{ 3 } \)
(1 + tan \(\theta \) + sec\(\theta \)) (1 + cot\(\theta \) - cosec\(\theta \)) is equal to
0
1
2
-1
a cot \(\theta \) + b cosec\(\theta \) = p and b cot \(\theta \) + a cosec\(\theta \) = q then p2- q2 is equal to
a2 - b2
b2 - a2
a2 + b2
b - a
The angle of depression of the top and bottom of 20 m tall building from the top of a multistoried building are 30° and 60° respectively. The height of the multistoried building and the distance between two buildings (in metres) is
20, 10\(\sqrt { 3 } \)
30, 5\(\sqrt { 3 } \)
20, 10
30, 10\(\sqrt { 3 } \)
Two persons are standing ‘x’ metres apart from each other and the height of the first person is double that of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the shorter person (in metres) is
\(\sqrt { 2 } \) x
\(\frac { x }{ 2\sqrt { 2 } } \)
\(\frac { x }{ \sqrt { 2 } } \)
2x
The total surface area of a cylinder whose radius is \(\frac{1}{3}\)of its height is
\(\frac { 9\pi { h }^{ 2 } }{ 8 } \) sq.units
24\(\pi\)h2 sq.units
\(\frac { 8\pi { h }^{ 2 } }{ 9 } \) sq.units
\(\frac { 56\pi { h }^{ 2 } }{ 9 } \) sq.units
If the radius of the base of a cone is tripled and the height is doubled then the volume is
made 6 times
made 18 times
made 12 times
unchanged
A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is
3x cm
x cm
4x cm
2x cm
A shuttle cock used for playing badminton has the shape of the combination of
a cylinder and a sphere
a hemisphere and a cone
a sphere and a cone
frustum of a cone and a hemisphere
The volume (in cm3) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is
\(\frac{4}{3}\pi\)
\(\frac{10}{3}\pi\)
\(5\pi\)
\(\frac{20}{3}\pi\)
The sum of all deviations of the data from its mean is
Always positive
always negative
zero
non-zero integer
Variance of first 20 natural numbers is
32.25
44.25
33.25
30
Kamalam went to play a lucky draw contest. 135 tickets of the lucky draw were sold. If the probability of Kamalam winning is \(\frac{1}{9}\), then the number of tickets bought by Kamalam is
5
10
15
20